## Transcribed Text

S- parameters in a Two Port Network
Purpose and Discussion
The purpose of this simulation is to demonstrate the characteristics of scattering parameters utilizing
Multisim’s Network Analyzer. When subatomic particles are accelerated, collisions with atoms result,
and scattering parameters are generated. Though their name was derived through particle physics, a
portion of the theory of scattering parameters is used in areas such as transmission line theory and
microwave active devices. In transmission line theory, forward scattering corresponds to transmission and
backward scattering corresponds to reflection. Interchanging the source and load produces reverse
coefficients S22 and S12. Transmission and reflection coefficients are denoted by S21 and S11.
Knowledge of the values of s-parameters in describing active devices means that circuits may be designed
around the device with little or no understanding of the internal device operation. The reflection or
scattering of electromagnetic waves is fundamental to the analysis and design of microwave circuitry. In
this experiment, scattering parameters will be calculated using Multisim’s Network Analyzer with a
simple two port network.
A- Resistive Two Port Network
For the network shown,
1- Calculate the s- parameters according to the equations listed below and put the results I nthe provided
table.
Necessary Equations:
Using ABC matrices:
series: � = $
1 �
0 1
(, R here = 80 Ohms
Parallel: � = * 1 0
1/� 1, R = 40 ohms
Parallel: : � = * 1 0
1/� 1, R = 50 ohms
The line impedance is Zo = 50 ohms
abc is the product of the matrices a*b*c m order
The resulting matrix is now a 2 X 2 matrix.
��� = � ∗ � ∗ � = $
� �
� �(
When you multiply a*b*c you obtain a matrix of four elements (2X2) Let us call the elements as A,
B,C, and D as shown in the matrix above.
The S-parameters are calculated as follows:
Note, A,B,C, and D are the elements of the resulting matrix abc. Show Calculations
�44 = � + �
�� − ��� − �
� + �
�� + ��� + �
�49 = 2(�� − ��)
� + �
�� + ��� + �
�94 = 2
� + �
�� + ��� + �
�99 = −� + �
�� − ��� + �
� + �
�� + ��� + �
The results are:
Scatter Parameter Value
S11
S12
S21
S22
Place the resulting S parameters in a matrix format
S = *
�44 �49
�94 �99
,
2- Using Multisim, simulate the circuit. Verify the correctness of your calcualtions. Insert a snap shot of
the Multisim result
Ensure to set the network Analyzer as shown (Measurement, S-Parameters, Polar)
2- Using Multisim only, replace the 80 Ohm in the circuit by a 15uH inductor and change the frequency
to 144.544MHz.
Display your results.

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction
of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice.
Unethical use is strictly forbidden.